Find ways in which prizes are distributed between student, Mathematics

Assignment Help:

Find out the number of ways in which 5 prizes can be distributed among 5 students such that 

(a)   Each student may get a prize.

(b)  There is no restriction to the number of prizes a student gets.  (8)  

 Ans : (a)  Number of ways in which 5 prizes can be distributed between 5 students in such a way that each one may acquire a prize is 5*4*3*2*1 = 5! ways.

(b) While no restriction on the number of prizes a student may get, after that a student may get either 0 or 1 or 2 or...upto 5 prizes. It depicts that a student have six possible ways in which it may get a prize. Hence the number of ways in which prizes can be distributed is 65.


Related Discussions:- Find ways in which prizes are distributed between student

Binding constraints for the original linear program model, A toy company pr...

A toy company produces 2 models of water guns: spray king and zapper. They are manufactured in batches for easier packaging and sale. Two of the limiting resources are 1200 pounds

Basics of vectors - calculus, Vectors - The Basics Let us start this s...

Vectors - The Basics Let us start this section off with a quick discussion on what is the use of vector.  Vectors are utilized to present quantities that have both a magnitude

Calculate what number of workers should be hired, You are given the followi...

You are given the following information about the amount your company can produce per day given the number of workers it hires. Numbers of Workers Quanti

Conic sections, The locus of the midpoint of the chords of an ellipse which...

The locus of the midpoint of the chords of an ellipse which are drawn through an end of minor axis is called

Repeated eigenvalues, It is the last case that we require to take a look at...

It is the last case that we require to take a look at. During this section we are going to look at solutions to the system, x?' = A x? Here the eigenvalues are repeated eigen

Example for pre-operational stage learning maths, E1) I have a three-year-o...

E1) I have a three-year-old friend. He has a lot of toy cars to play with. Playing with him once, I divided the cars into two sets. One set was more spread out and had 14 cars in i

Maths for Social Science, A retired couple has up to $30000 to invest in fi...

A retired couple has up to $30000 to invest in fixed-income securities. Their broker recommends investing in two bonds: one a AAA bond yielding 8%; the other a B+ bond paying 12%.

Solve 4 sin 2 ( t ) - 3 sin ( t /3)= 1, Solve 4 sin 2 ( t ) - 3 sin ( t /...

Solve 4 sin 2 ( t ) - 3 sin ( t /3)= 1 . Solution Before solving this equation let's solve clearly unrelated equation. 4x 2 - 3x = 1  ⇒ 4x 2 - 3x -1 = ( 4x + 1) ( x

Calculate the area and perimeter of a square, Calculate the area and perime...

Calculate the area and perimeter of a square: Calculate the area and perimeter of a square with w = 5´ and l = 6´.  Be sure to involved units in your answer. Solution:

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd